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Finding the Fourth Proportional to 27,872.51, 38,462.66 and 16,542.48

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Solution

The fourth proportional to 27,872.51, 38,462.66 and 16,542.48 is: 22,827.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,872.51 : 38,462.66 = 16,542.48 : x
  2. Step 2: Convert to fraction form
    27,872.51/38,462.66 = 16,542.48/x
  3. Step 3: Cross multiply
    27,872.51x = 38,462.66 × 16,542.48
  4. Step 4: Simplify right side
    27,872.51x = 636,267,701.08
  5. Step 5: Solve for x
    x = 636,267,701.08/27,872.51
  6. Step 6: Final answer
    x = 22,827.79

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.